Answer:
1/12
Step-by-step explanation:
The total number is 12 (assuming the dice would be rolled 12 times) 7 is a number in the range and it will appear once in the 12 rolls because each number shows each time. 1 (how many times 7 will show)/ 12(total number of rolls)
Answer:
h = 1/5
Step-by-step explanation:
The formula to find the volume of this prism is b × w × h (base × width × height). Since you are given the volume, you can divide the volume by the other two dimensions to find the height.
V = b × w × h
1/100 = 1/4 × 1/5 × h
1/100 ÷ 1/4 ÷ 1/5 = h
h = 1/5
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
